Answer:
33-21=9
Step-by-step explanation:
Space shuttle Challengerexploded because of O-ring failure shortly after it was launched. O-ring damage and temperature at time of launch for the 23 space shuttle flights that preceded the Challenger. The data is reproduced below.
Flights with O-ring damage 43 57 58 63 70 70 75
Flights with no O-ring damage 66 67 67 67 68 69 70 70 72 73 75 76 76 78 79 81
Is the mean launch temperature for fights with O-ring damage significantly less than for flights with no O-ring damage? Use 5% level of significance.
Answer:
The mean launch temperature for flights with O-ring damage is significantly lesser than Flights with No O-ring
Step-by-step explanation:
Let
Null hypothesis : H0 : μ1 ≥ μ2
Alternate hypothesis : Ha : μ1 < μ2
next calculate the test statistic
t = -2.312
calculate the P-value
p-value = T.DIST ( t ,df ) ( excel function )
= 0.0270
Given that P-value ( 0.020 ) < level of significance ( 0.05 ) we will not fail to reject the null hypothesis
Attached below is the detailed solution
One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?
9514 1404 393
Answer:
7.5×10^3 grams
Step-by-step explanation:
Your calculator can tell you the product of the weight of each times the number of them. It is ...
(1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams
About 7.5 kg.
Simplify 2a + 14 - 5a - 7 + 8a
Step-by-step explanation:
2a -5a +8a.
2a +8a -5a
10a -5a = 5a
14-7=7
Answer=5a+7
Plsss help mehh this is urgent
Find the length of segment WX.
6
15
25
10
Answer:
10
Step-by-step explanation:
15 / 6 = 2.5
25 ÷ 2.5 = 10
what the formula of a triangle?!
Answer:
A=hbb/2 hope this helps :)
Step-by-step explanation:
1.6
Study the following temperature conversions and answer the questions that
follow
°C =( °F 32°C) = 1.8
OF = (1,8 x °C) + 32
The melting point of ice is 0°C, what is this temperature in degrees
2
1.7
Fahrenheit?
2
1.8
Determine the temperature in degrees Celsius if the temperature is 95°F
[12]
Answer:
a. 0°C = [tex]32^{o}[/tex]F
b. 95°F = [tex]35^{o}[/tex]
Step-by-step explanation:
a. The temperature of melting point of ice (0°C) in degrees Fahrenheit can be determined as;
OF = (1.8 x °C) + 32
= (1.8 x 0) + 32
OF = 32
Thus the temperature is [tex]32^{o}[/tex]F.
b. 95°F in degrees Celsius can be determined by;
°C = ( °F - 32) ÷ 1.8
= (95 - 32) ÷ 1.8
= 63 ÷ 1.8
°C = [tex]35^{o}[/tex]
Thus the temperature is [tex]35^{o}[/tex]C.
Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
answer:
i believe 28
Step-by-step explanation:
Pls help because I’m not sure
B
Step-by-step explanation:
Juan deposited $450 in an account that earned 7.5% simple interest.
- He did not make additional deposits and he didn't withdraw any money from the account.
What was the balance in Juan's investment account after 3 years?
Answer:
$551.25
Step-by-step explanation:
$450 x 7.5% = 33.75
33.75 x 3 = 101.25
101.25 + 450 = 551.25
What is the shape of the cross-section formed when a cone intersects a plane as shown in the drawing
Answer:
triangle
Step-by-step explanation:
only look at the cut off part
Answer:
I believe that the shape is formed to be a circle
Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.
Answer: 2=.36, 3=.48, 4=.16
Step-by-step explanation:
If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.
We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.
Outcomes:. Probability:
SS. .60 x .60 = .36
SD. .60 x .40 = .24
DS. .40 x .60 = .24
DD. .40x .40 =.16
Total. 1.00
Lastly group the similar outcomes. SD+DS= .48
Trinh is catering a wedding that 112 people will attend. She is making two cakes, a chocolate cake and a carrot cake. 0.625 of the guests will be served chocolate cake and the rest will receive carrot cake. How many guests will get carrot cake?
Answer:
Step-by-step explanation:
70
I really need help plsss!!!
Answer:
(a)
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
(b) Rate = 5
(c) Rate = 5
Step-by-step explanation:
Given
The attached graph
Solving (a): The piece-wise function
For the first line
Calculate the slope of the first line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (5,25)[/tex]
So, the slope is:
[tex]m = \frac{25 - 0}{5 - 0}[/tex]
[tex]m = \frac{25}{5}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (0,0)[/tex]
[tex]y = 5(x - 0) + 0[/tex]
[tex]y = 5(x) + 0[/tex]
[tex]y = 5x[/tex]
So, the function of the first line is:
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
For the second line
Calculate the slope of the second line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (5,20)[/tex]
[tex](x_2,y_2) = (9,40)[/tex]
So, the slope is:
[tex]m = \frac{40 - 20}{9 - 5}[/tex]
[tex]m = \frac{20}{4}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (5,20)[/tex]
[tex]y = 5(x - 5) + 20[/tex]
[tex]y = 5x - 25 + 20[/tex]
[tex]y = 5x -5[/tex]
So, the function of the second line is:
[tex]f(x) = 5x -5;\ x>5[/tex]
Hence, the piece-wise function is:
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
Solving (b): The rate at which customers that buy up to 5lb buy.
[tex]x = 5[/tex]
This question implies that, we determine the rate at which this customer buys.
For [tex]x = 5[/tex]
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
The slope of the above function is 5.
So, this customer buys at the rate of $5 per lb
Solving (b): The rate at which customers that buy more than 5lb buy the extra pounds above 5lb.
For [tex]x > 5[/tex]
[tex]f(x) = 5x -5;\ x>5[/tex]
Assume x = 6
[tex]f(6) = 5 * 6 - 5[/tex]
[tex]f(6) = 30 - 5[/tex]
[tex]f(6) = 25[/tex]
Express as 20 + 5
[tex]f(6) = 20 + 5 * 1[/tex]
Assume x = 7
[tex]f(7) = 5 * 7 - 5[/tex]
[tex]f(7) = 35 - 5[/tex]
[tex]f(7) = 30[/tex]
[tex]f(7) = 20 + 10[/tex]
Express 10 as 5 * 2
[tex]f(7) = 20 + 5 * 2[/tex]
So, we have:
[tex]f(6) = 20 + 5 * 1[/tex]
[tex]f(7) = 20 + 5 * 2[/tex]
This can be generalized as:
[tex]f(x) = 20 + 5(x - 5)[/tex]
For the above functions;
20 represents the amount they buy the first 5
5 represents the rate at which they buy extra pounds above 5
Hence, they buy the extra pounds at the rate of $5 per pound
What is the volume of the composite figure? ASAP PLEASE!!!!
Answer:
74ft³
Step-by-step explanation:
Okay, so it's basically 3 rectangular figures smashed together so:
We'll do the 2 biggest one's first:
the formula for the volume of a rectangular figure is base x height so we first have to find the base:
4 x 3 = 12
So then we just plug our stuff in here:
12 x 3 = 36
Now there's 2 of these rectangles though so:
36 x 2 = 72
Now we're going to do the one in the middle:
1 x 2 = 2
2 x 1 = 2
Now we add that all together:
72 + 2 = 74
So, the volume of the composite figure is 74ft³
hope this helps:)
Angle ACB and angle ECD are
angles.
vertical
complementary
supplementary
none of the above
Answer:
vertical
Step-by-step explanation:
When two lines intersect, 4 angles are formed. Two non-adjacent angles are called vertical angles.
Answer: vertical
Answer:
Vertical
Step-by-step explanation:
Just did the lesson and checked the answer key :D
Emma and Paul each invest $2,000 into
accounts that earn 6% interest. If Emma's
account earns simple interest and Paul's
account earns compound interest, which is the
value of each person's account after 8 years?
A. Emma - $2,960; Paul - $3,187.70
8. Emma - $960; Paul - $3,187.70
C. Emma - $2,960; Paut- $ 1,187.70
The value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
What is interest?Interest is the money you pay on top of the amount you borrow which compensates lenders for making their money available as well as the risk they take.
For the borrower, it is like a rental cost, while for the lender it is an income for lending – for risking their money and doing without it for a given period.
Given that, Emma and Paul invested $2,000 into accounts that earn 6% interest.
Emma invested in Simple interest and Paul invested in compound interest,
We need to find the amount of both after 8 years.
Formula to be used =
Simple interest = PRT / 100 [p = principal, r = rate and t = time]
Compound interest =
A = P(1+r)ⁿ [a = amount, p = principal, rate = rate, n = time]
So,
Emma's account after 8 years =
2000 × 6 × 8 / 100 + 2000 = $2960
Paul's account after 8 years =
A = 2000(1+0.06)⁸
A = $3187.7
Hence, the value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
Learn more about interests, click;
https://brainly.com/question/13324776
#SPJ2
A number machine is shown below.
INPUT
ADD 9
MULTIPLY
BY 5
OUTPUT
a) Calculate the INPUT when the OUTPUT is 40.
[2]
b) Calculate the OUTPUT when the INPUT is n.
+
[2]
Use Guauss-jordan elimination to solve the following linear system.
5x - 2y = -2
-x + 4y = 4
Answer:
wdym
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?
Answer:
31 children and 290 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 321
2a + 1.75c = 634.25
Multiply both sides of the the first equation by -2 and add it to the second equation.
-2a - 2c = -642
(+) 2a + 1.75c = 634.25
--------------------------------------
-0.25c = -7.75
Divide both sides by -0.25
c = 31
Use the first equation to find a.
a + c = 321
Substitute 31 for c.
a + 31 = 321
Subtract 31 from both sides.
a = 290
Answer: 31 children and 290 adults
Unit 2 Exam
Rabbit populations can double every 30
days. If there are 26 rabbits on a farm,
how many rabbits will be on the farm
after 240 days?
First, complete the equation:
Future Amount = 26(1+1)
Answer:
6,656 rabbits
Step-by-step explanation:
Population of rabbits = 26
Population doubles every 30 days
how many rabbits will be on the farm after 240 days?
t = 240 days / 30 days
= 8
Future Amount = 26(2)^t
=26(2)^8
= 26(256)
= 6,656
Therefore, the population of rabbits on the farm after 240 days is 6,656
Solve for x 103 (3x+4)
PLZ HELP ASAP!!! 9 equals x over 2 + 2
Samantha answered 90% of the questions on her math test and 80 % of the questions on her history test correctly. If each test had 50 questions , how many questions in all did she answer correctly ?
Answer:
Samantha got 85 questions right.
Step-by-step explanation:
90% of 50 is 45.
80% of 50 is 40.
40 + 45 = 85
:)
Answer:
95
Step-by-step explanation:
Im pretty sure It's 95 because if you get a 90% on a test with 50 questions, you would've gotten 45 correct. If you get an 80% on a test with 50 questions, you would've gotten 40 correct. Then add them.
jay spent 1/2 of his money on pencils. He had $2.50 left.
How much money did he start with?
Answer:
$5
Step-by-step explanation:
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $327.50. The second order was for 6 bushes and 2 trees, and totaled $142.96. Sam tried to use system of equation to solve the problem If "b" represents bushes and "t" represents trees which system can Sam use?
A 13b + 2t = 327.50 6b + 4t = 142.96
B. 13b + 4t = 142.96 6b + 2t = 327.50
C 4b + 13t = 327.50 2b + 6 = 142.96
D 13b + 4t = 327.50 6b + 2t = 142.96
Answer:
A
Step-by-step explanation:
because mathematics of mathatics equals mathematics
You are going on a road trip over a distance of 3000 miles with three friends. The car consumes 6 gallons of gas per 150 miles and gas costs $1.20 per gallon. If you want to split the cost of gas evenly between the four of you, how much should each of you pay? Please show step by step. Please HELP!! Answer soon.
Answer:
$54
Step-by-step explanation:
[3,000 / 100] x 6 = 180 - Liters of gas will be used on a 3,000 Km trip.
180 x 1.20 = 216 - total cost of gas over 3,000 Km trip.
216/4 = $54 - share of each one of the 4 people
Select all numbers that have an absolute value of 4.
Answer: 4 and -4
Step-by-step explanation: There isn't an actual explanation I can give for this answer, it is based on technical meaning.
Answer: 4 & -4
Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So |−4|=4 and so is |4|=4 .
Step-by-step explanation:
the picture has the question
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
he action or condition of becoming or being made wider, larger, or more open.
Step-by-step explanation: